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Finding the Fourth Proportional to 564,149.68, 778,595.40 and 322,442.44

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Solution

The fourth proportional to 564,149.68, 778,595.40 and 322,442.44 is: 445,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,149.68 : 778,595.40 = 322,442.44 : x
  2. Step 2: Convert to fraction form
    564,149.68/778,595.40 = 322,442.44/x
  3. Step 3: Cross multiply
    564,149.68x = 778,595.40 × 322,442.44
  4. Step 4: Simplify right side
    564,149.68x = 251,052,200,548.78
  5. Step 5: Solve for x
    x = 251,052,200,548.78/564,149.68
  6. Step 6: Final answer
    x = 445,009.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.